<s>
Allen	B-Application
's	I-Application
interval	I-Application
algebra	I-Application
is	O
a	O
calculus	O
for	O
temporal	O
reasoning	O
that	O
was	O
introduced	O
by	O
James	O
F	O
.	O
Allen	O
in	O
1983	O
.	O
</s>
<s>
is	O
formalized	O
in	O
Allen	B-Application
's	I-Application
Interval	I-Application
Algebra	I-Application
as	O
follows	O
:	O
</s>
<s>
For	O
reasoning	O
about	O
the	O
relations	O
between	O
temporal	O
intervals	O
,	O
Allen	B-Application
's	I-Application
interval	I-Application
algebra	I-Application
provides	O
a	O
composition	O
table	O
.	O
</s>
<s>
Together	O
with	O
a	O
converse	O
operation	O
,	O
this	O
turns	O
Allen	B-Application
's	I-Application
interval	I-Application
algebra	I-Application
into	O
a	O
relation	O
algebra	O
.	O
</s>
<s>
Allen	B-Application
's	I-Application
interval	I-Application
algebra	I-Application
can	O
be	O
used	O
for	O
the	O
description	O
of	O
both	O
temporal	O
intervals	O
and	O
spatial	O
configurations	O
.	O
</s>
<s>
is	O
a	O
Python	O
framework	O
for	O
qualitative	O
reasoning	O
over	O
networks	O
of	O
relation	O
algebras	O
,	O
such	O
as	O
RCC-8	O
,	O
Allen	B-Application
's	I-Application
interval	I-Application
algebra	I-Application
,	O
and	O
Allen	O
's	O
algebra	O
integrated	O
with	O
Time	O
Points	O
and	O
situated	O
in	O
either	O
Left	O
-	O
or	O
Right-Branching	O
Time	O
.	O
</s>
<s>
is	O
a	O
small	O
domain-specific	O
language	O
for	O
the	O
detection	O
of	O
events	O
that	O
implements	O
the	O
Interval	B-Application
Algebra	I-Application
's	O
operators	O
via	O
ASCII	O
art	O
patterns	O
.	O
</s>
